Let us remember that the renormalization of the lagrangian field theory models is expected [1]}, [2]} to be independent of the global aspects of the manifold that do not modify the short-distance behaviour of the theory. Therefore,
since the nonabelian curvature \(F_A(x)\)  describes degrees of freedom which do not depend on the topology of the manifold, we shall consider the renormalization properties of \(Z_{SD}[B] \)  in flat spacetime.
